Mississippi Math FA.A.32

MathGrades 9–12Algebra (A) Polynomials

The Standard

Add and subtract polynomials using appropriate strategies (e.g.,by using Algebra Tiles).

2025 Mississippi College- and Career-Readiness Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students add and subtract polynomials by combining terms with the same variable and exponent. When subtracting, they change the sign of every term being taken away before combining like terms.

What Mastery Looks Like

Given (3x² + 2x - 4) - (x² - 3x + 1), a student gets 2x² + 5x - 5. They can explain where each term in the answer came from.

Common Misconceptions

Students may combine x² and x terms or add exponents when adding polynomials. When subtracting, they may change only the first sign inside the parentheses.

How to Assess It

Exit ticket: Simplify (4x² - 3x + 2) - (x² + 5x - 6). Show how you handled the signs before combining like terms.

Lesson moves

Ways to Teach It

  1. Model (x² + 2x + 1) + (2x² - x + 3) with signed algebra tiles, then group like tiles.

  2. Ask, “Why does subtracting (x² - 3x + 1) change the sign of every term, not just x²?”

  3. Put (2x² + x) + (x² - 3x), 3x² - 2x, and 3x² + 4x on cards; students choose the match and explain.

  4. Draw garden beds sized x by (x + 3) and x by (2x + 1); have students write their total area.

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Printable FA.A.32 Worksheet

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